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Finding the Fourth Proportional to 54,701.40, 82,054.80 and 28,457.40

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Solution

The fourth proportional to 54,701.40, 82,054.80 and 28,457.40 is: 42,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,701.40 : 82,054.80 = 28,457.40 : x
  2. Step 2: Convert to fraction form
    54,701.40/82,054.80 = 28,457.40/x
  3. Step 3: Cross multiply
    54,701.40x = 82,054.80 × 28,457.40
  4. Step 4: Simplify right side
    54,701.40x = 2,335,066,265.52
  5. Step 5: Solve for x
    x = 2,335,066,265.52/54,701.40
  6. Step 6: Final answer
    x = 42,687.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.